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Finding the Fourth Proportional to 1,384.78, 2,077.55 and 604.85

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Solution

The fourth proportional to 1,384.78, 2,077.55 and 604.85 is: 907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.78 : 2,077.55 = 604.85 : x
  2. Step 2: Convert to fraction form
    1,384.78/2,077.55 = 604.85/x
  3. Step 3: Cross multiply
    1,384.78x = 2,077.55 × 604.85
  4. Step 4: Simplify right side
    1,384.78x = 1,256,615.42
  5. Step 5: Solve for x
    x = 1,256,615.42/1,384.78
  6. Step 6: Final answer
    x = 907.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.